10104133210400 has 72 divisors (see below), whose sum is σ = 24755765256180. Its totient is φ = 4027062389760.

The previous prime is 10104133210397. The next prime is 10104133210417. The reversal of 10104133210400 is 401233140101.

It can be written as a sum of positive squares in 6 ways, for example, as 3195499459216 + 6908633751184 = 1787596^2 + 2628428^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22576535 + ... + 23019734.

Almost surely, 2^{10104133210400} is an apocalyptic number.

10104133210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104133210400 is an abundant number, since it is smaller than the sum of its proper divisors (14651632045780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10104133210400 is a wasteful number, since it uses less digits than its factorization.

10104133210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45596566 (or 45596553 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10104133210400 its reverse (401233140101), we get a palindrome (10505366350501).

The spelling of 10104133210400 in words is "ten trillion, one hundred four billion, one hundred thirty-three million, two hundred ten thousand, four hundred".